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Simplifying -31 + 5y + 4 = 2(4y + -5) + -2 Reorder the terms: -31 + 4 + 5y = 2(4y + -5) + -2 Combine like terms: -31 + 4 = -27 -27 + 5y = 2(4y + -5) + -2 Reorder the terms: -27 + 5y = 2(-5 + 4y) + -2 -27 + 5y = (-5 * 2 + 4y * 2) + -2 -27 + 5y = (-10 + 8y) + -2 Reorder the terms: -27 + 5y = -10 + -2 + 8y Combine like terms: -10 + -2 = -12 -27 + 5y = -12 + 8y Solving -27 + 5y = -12 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -27 + 5y + -8y = -12 + 8y + -8y Combine like terms: 5y + -8y = -3y -27 + -3y = -12 + 8y + -8y Combine like terms: 8y + -8y = 0 -27 + -3y = -12 + 0 -27 + -3y = -12 Add '27' to each side of the equation. -27 + 27 + -3y = -12 + 27 Combine like terms: -27 + 27 = 0 0 + -3y = -12 + 27 -3y = -12 + 27 Combine like terms: -12 + 27 = 15 -3y = 15 Divide each side by '-3'. y = -5 Simplifying y = -5
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